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As far as I can understand, I need to use some form of regression (non-linear, since the data is awfully curved).

Now, I have no knowledge of anything above pre-calculus at the moment, so I gather I will have to do some reading to get where I want.

So, I'm looking for help getting started. General mathematical techniques that would be helpful, algorithms, books on the subject, and so on.

Any and all tips are appreciated.

k